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Finding the Third Proportional to 554,120 and 834,924

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Solution

The third proportional to 554,120 and 834,924 is: 1,258,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,120 : 834,924 = 834,924 : x
  2. Step 2: Convert to fraction form
    554,120/834,924 = 834,924/x
  3. Step 3: Cross multiply
    554,120x = 834,924 × 834,924
  4. Step 4: Simplify right side
    554,120x = 697,098,085,776
  5. Step 5: Solve for x
    x = 697,098,085,776/554,120
  6. Step 6: Final answer
    x = 1,258,027.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.